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Finding the Third Proportional to 191,971,310 and 309,137,061

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Solution

The third proportional to 191,971,310 and 309,137,061 is: 497,812,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,971,310 : 309,137,061 = 309,137,061 : x
  2. Step 2: Convert to fraction form
    191,971,310/309,137,061 = 309,137,061/x
  3. Step 3: Cross multiply
    191,971,310x = 309,137,061 × 309,137,061
  4. Step 4: Simplify right side
    191,971,310x = 95,565,722,483,717,728
  5. Step 5: Solve for x
    x = 95,565,722,483,717,728/191,971,310
  6. Step 6: Final answer
    x = 497,812,524.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.